4440916865664 has 192 divisors, whose sum is σ = 13575740330880. Its totient is φ = 1444200192000.

The previous prime is 4440916865659. The next prime is 4440916865677. The reversal of 4440916865664 is 4665686190444.

It is a happy number.

4440916865664 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 9 + 1 + 68 + 6 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465912 + ... + 3016439.

It is an arithmetic number, because the mean of its divisors is an integer number (70706980890).

Almost surely, 2^{4440916865664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4440916865664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6787870165440).

4440916865664 is an abundant number, since it is smaller than the sum of its proper divisors (9134823465216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4440916865664 is an equidigital number, since it uses as much as digits as its factorization.

4440916865664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482421 (or 3482397 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 4440916865664 in words is "four trillion, four hundred forty billion, nine hundred sixteen million, eight hundred sixty-five thousand, six hundred sixty-four".